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Finding the Fourth Proportional to 9,323.46, 13,981.05 and 4,939.88

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Solution

The fourth proportional to 9,323.46, 13,981.05 and 4,939.88 is: 7,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.46 : 13,981.05 = 4,939.88 : x
  2. Step 2: Convert to fraction form
    9,323.46/13,981.05 = 4,939.88/x
  3. Step 3: Cross multiply
    9,323.46x = 13,981.05 × 4,939.88
  4. Step 4: Simplify right side
    9,323.46x = 69,064,639.37
  5. Step 5: Solve for x
    x = 69,064,639.37/9,323.46
  6. Step 6: Final answer
    x = 7,407.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.